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Find the z-score for which 8 percent of the distribution's area lies between -z and z?

To find the z-score where 8% of the distribution's area lies between -z and z, we first recognize that this means 4% (or 0.04) lies in each tail of the normal distribution. Therefore, we need to find the z-score that corresponds to the cumulative area of 0.04 in the left tail. Using standard normal distribution tables or a calculator, we find that the z-score for 0.04 is approximately -1.75. Thus, the positive z-score is approximately 1.75, meaning z ≈ 1.75.


How do you find a z-score?

Z Score is (x-mu)/sigma. The Z-Score allows you to go to a standard normal distribution chart and to determine probabilities or numerical values.


How do you find the mean from raw score z score and standard deviation?

To find the mean from a raw score, z-score, and standard deviation, you can use the formula: ( \text{Raw Score} = \text{Mean} + (z \times \text{Standard Deviation}) ). Rearranging this gives you the mean: ( \text{Mean} = \text{Raw Score} - (z \times \text{Standard Deviation}) ). Simply substitute the values of the raw score, z-score, and standard deviation into this formula to calculate the mean.


How do you find the raw score when you don't have the z score?

Go back to the basic data, estimate the sample mean and the standard error and use these to estimate the Z-score.


What is a Z Score?

A z-score is a means to compare rank from 2 different sets of data by converting the individual scores into a standard z-score. The formula to convert a value, X, to a z-score compute the following: find the difference of X and the mean of the date, then divide the result by the standard deviation of the data.

Related Questions

How do you find the z score of 12.5?

To find the Z score from the random variable you need the mean and variance of the rv.To find the Z score from the random variable you need the mean and variance of the rv.To find the Z score from the random variable you need the mean and variance of the rv.To find the Z score from the random variable you need the mean and variance of the rv.


What is the z score that correspond to P18?

Find the Z score that correspond to P25


How do you find out the z-score?

z-score of a value=(that value minus the mean)/(standard deviation)


How do you find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.7?

You will need to use tables of z-score or a z-score calculator. You cannot derive the value analytically.The required z-score is 0.524401


How do you find the area to the right of the z-score?

Charts typically show and list the area to the left of the Z-Score value. To find the area to the right, just subtract the Z-Score value from 1; e.g. if the Z-Score value is .75 then take 1-.75 = .25.


How do you find probabilty of negative z score?

Let z be positive so that -z is the negative z score for which you want the probability. Pr(Z < -z) = Pr(Z > z) = 1 - Pr(Z < z).


How do you find z score are of 0.79?

To get a z-score one needs a standard deviation and a mean as well as the number.


How do you find a z-score?

Z Score is (x-mu)/sigma. The Z-Score allows you to go to a standard normal distribution chart and to determine probabilities or numerical values.


How do you find the mean from raw score z score and standard deviation?

To find the mean from a raw score, z-score, and standard deviation, you can use the formula: ( \text{Raw Score} = \text{Mean} + (z \times \text{Standard Deviation}) ). Rearranging this gives you the mean: ( \text{Mean} = \text{Raw Score} - (z \times \text{Standard Deviation}) ). Simply substitute the values of the raw score, z-score, and standard deviation into this formula to calculate the mean.


Find the z-score for which 92 percent of the distribution's area lies between -z and z?

z = 1.75


Find z score for normal distribution for 70 percentile?

z = 0.5244, approx.


How do you find the raw score when you don't have the z score?

Go back to the basic data, estimate the sample mean and the standard error and use these to estimate the Z-score.